The system of inequalities with no solution is x > 3 x < 1
How to determine the system with no solutions?The systems of inequalities are given as:
x < 3 x < 1
x > 3 x > 1
x < 3 x > 1
x > 3 x < 1
As a general rule, it is impossible for a variable to be greater than a higher number and less than a smaller number.
This means that if x is greater than 3, then it must be greater than 1
Hence, the system of inequalities with no solution is x > 3 x < 1
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It costs $363 to make 90 bags of cotton candy and $440 to make 200 bags of cotton candy.
a) find the cost equation.
Answer:
363=90bags
then you look into it and say
440=200bags
Find the area of AAOB
9√3 un
3√3 um
4.5/3 2
The area of the triangle AOB is 9√3 square units
How to determine the area of AOB?The triangle AOB is an equilateral triangle with the following parameters:
Side length, x = 6
Angle, y = 60
The area of the triangle is then calculated using:
Area = 0.5 * x^2 * sin(y)
So, we have:
Area = 0.5 * 6^2 * sin(60)
Evaluate
Area = 18 * 0.5√3
Evaluate the product
Area = 9√3
Hence, the area of the triangle AOB is 9√3 square units
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Ari said there are three possible outcomes when you
spin this spinner twice: two reds, a yellow and a red,
or two yellows.
So, the probability of getting two yellows is 1/3
Do you agree or disagree? Explain your thinking
Please answer fast :(
========================================================
Reason:
Ari hasn't considered the case of "red and yellow" which is almost identical to "yellow and red".
It helps to lay out a two by two table. Along the rows and columns, you'll have "red" and "yellow". See below.
Then inside the table are the list of all outcomes in the form (x,y) where x is the horizontal component along the columns, and y is the vertical component along the rows.
Example: if x = red and y = red, then we have the outcome (x,y) = (red, red)
As the table shows, we have 4 outcomes. Therefore the probability of getting two yellows is 1/4
Technically the (red, yellow) = (yellow, red) since ultimately order doesn't matter in this case. For some probability problems, order will matter. But again, order doesn't matter here and it means that we can treat these two situations the same. So I can see why Ari thinks there are only three outcomes.
--------------------------------
Here's another way to look at it:
The probability of landing on yellow is 1/2 assuming red and yellow are equally likely.
This means the probability of two yellow in a row is (1/2)*(1/2) = 1/4
Each is spin is independent of any other.
A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. how much gas can the pressure vessel hold when full?
it is either, 54 pie cubic feet, 81 pie cubic feet, 108 pie cubic feet or 324 pie cubic feet
Step-by-step explanation:
the volume of a cylinder is as for any other regular 3D object :
ground area ×height
the ground area of a cylinder is a circle, so it is
pi×radius² × height
the radius is always half of the diameter (of the diameter is airways twice the radius).
radius = 6/2 = 3 ft.
the volume is then
pi × 3² × 9 = pi × 9 × 9 = pi × 81 ft³
so, the answer is 81pi ft³.
helpppppppppp meeeeeeeeee pllzzzzzzzzz
From experience, an airline knows that only 70% of the passengers booked for a certain flight actually show up. If 8 passengers are randomly selected, find the probability that fewer than 7 of them show up. Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.
Using the binomial distribution, it is found that there is a 0.7447 = 74.47% probability that fewer than 7 of them show up.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, the values of the parameters are given as follows:
p = 0.7, n = 8.
The probability that fewer than 7 of them show up is given by:
[tec]P(X < 7) = 1 - P(X \geq 7)[/tex]
In which:
[tex]P(X \geq 7) = P(X = 7) + P(X = 8)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{8,7}.(0.7)^{7}.(0.3)^{1} = 0.1977[/tex]
[tex]P(X = 8) = C_{8,8}.(0.7)^{8}.(0.3)^{0} = 0.0576[/tex]
Then:
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) = 0.1977 + 0.0576 = 0.2553[/tex]
[tec]P(X < 7) = 1 - P(X \geq 7) = 1 - 0.2553 = 0.7447[/tex]
0.7447 = 74.47% probability that fewer than 7 of them show up.
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Which of the following tables represents a function?
Which rule describes a translation 3 units down?
A (x, y) → (x+3, y + 3)
B (x, y) → (x, y - 3)
(x, y) → (x, y + 3)
D (x, y) → (x, -3y)
B; the y axis is what moves up and down
Help please thanksssssssssss
Answer:
what is your from my from is province philippines
You are building a brick patio. the length of the patio is (x+11) feet.
the total area of the patio can be represented by x^2+14x+33. write an expression for the width of the patio
The expression that represents the width of the patio is (x+3) feet
Calculating areaFrom the question, we are to determine the width of the patio
The area of the patio = Length of the patio × Width of the patio
From the given information,
Length of the patio = (x+11) feet
Area of the patio = x^2+14x+33 = x²+14x+33
Putting the parameters into the formula,
x²+14x+33 = (x+11) × Width of the patio
∴ Width of the patio = (x²+14x+33) / (x+11)
First, we will factor x²+14x+33
x²+14x+33
x²+11x+3x+33
x(x+11) +3(x+11)
(x+3)(x+11)
Thus,
Width of the patio = [(x+3)(x+11)] / (x+11)
∴ Width of the patio = (x+3) feet
Hence, the expression that represents the width of the patio is (x+3) feet
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How do I simplify this (w²+6)-(3w² + 4w)
Answer:
6-2w(w+2)
Step-by-step explanation:
6-2w²+4w
6-2w(w+2)
Project: slang
here is your goal for this assignment:
recognize the use of slang in context
read a page or two of a newspaper. pick out several words that come from slang. (the sports section is a good place to find these terms. ) type a list.
remember to document your source properly, using mla format
The purpose of using slang is mostly for social purposes such as:
It is use as a kind of identity identify for any members of a group.It is often used to oppose an already set up authority.What is the use of slangs about?Slangs is often used in the Sharing and keeping of a constantly altering vocabulary aids.
It is used to show group solidarity and it is often used to include or exclude members.
The common sports slangs are:
“Game of inches” “Lost a step” “The ball is in their court”Learn more about Slangs from
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answer please hahahahhaha
[tex]\dfrac{5-i}{4+3i}=\dfrac{(5-i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{20-15i-4i-3}{16+9}=\dfrac{17-19i}{25}=\dfrac{17}{25}-\dfrac{19}{25}i[/tex]
Solve for X.
- 4x + 10 = 50
Answer: -10
Step-by-step explanation:
10 x 4 is 40 so with 2 negatives, it turns positive, and 40 plus 10 = 50
Answer:
x=-10
Step-by-step explanation:
-4x+10=50
10=50+4x
-50+10=4x
-40=4x
4x=-40
x=-40÷4
x=-10
Which of the following is the solution set of 6x + 5 = -29?
O {-4}
O {-17/3)
O (17/3)
Answer:
-[tex]\frac{17}{3}[/tex]
Step-by-step explanation:
Tomás bought a new car for $41,000. If the value of the car depreciates by 17% each year, determine the value
of his car in 9 years.
This is a means of reducing the cost of a goods or an asset over time. The value of the car after 9 years is approximately $888
DepreciationThis is a means of reducing the cost of a goods or an asset over time.
Mathematically, the cost of goods after a particular year is expressed as:
P(t) = P0e^-rt
Given
P0 = $41000rate r = 17% = 0.17time t = 9 yearsSubstitute
P(17) = 41000r^0.17(9)
P(17) = 4100(0.21653)
P(17) = 887.79
Hence the value of the car after 9 years is approximately $888
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find the length and width of a rectangle whose
Length is 5cm longer than it’s width
Whose area is 50cm
Step-by-step explanation:
width= x (let)
length= x+5
Area=50 cm
Now ,
area = l ×b
50 = (X×X+5)
50 = (2X + 5)
50÷ 2= X+5
25 -5 = X
X=20
LENGTH = X+5
20+5
=25
g(x) = x3 + 6x2 + 12x + 8
A 2-column table with 5 rows. The first column is labeled g of x with entries negative 3, negative 2, 0, 2, 3. The second column is labeled f of x with entries negative 1, 0, 8, 64, 125.
Determine the function’s value when x = −1.
The value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1
How to evaluate the function?The equation of the function is given as:
g(x) = x^3 + 6x^2 + 12x + 8
When x = -1, we have:
g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8
Evaluate the expression
g(-1) = 1
Hence, the value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1
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Answer:
g(-1) = 1
Step-by-step explanation:
I kinda need an explanation on how to solve this.
Answer:
36.
Step-by-step explanation:
There were 10 elephants that were marked. Only 4 of those were counted. The other 26 were new elephants. Because of this, we know that there were 6 other elephants that were not counted. There were the 30 counted, and the other 6. Add those and you get 36.
Answer:
75 elephants
Step-by-step explanation:
This sort of population study assumes that the probability of catching any particular elephant is the same as for any other.
__
We are given that there is a population of 10 painted elephants, of which 4 of them are caught in a sample of 30 elephants. We know the total population of painted elephants is 10/4 = 2.5 times the number caught in the sample. This suggests the total population of elephants is 2.5 times the sample size.
estimated population = 2.5 × 30 = 75 . . . elephants
What is the surface area in square inches of a basketball that has a diameter of 9 inches
if its diameter is 9, that means its radius is half that, or 4.5.
[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4.5 \end{cases}\implies \begin{array}{llll} SA=4\pi (4.5)^2\implies SA=81\pi \\\\\\ SA\approx 254.47~in^2 \end{array}[/tex]
The surface area of the basketball with diameter of 9 in will be 254.34 in².
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given that, a basketball has a diameter of 9 inches we need to find its surface area,
Since, the basketball is in the shape of the sphere and the surface area of the sphere = 4π×radius²
Therefore, the surface area of the basketball =
= 4×3.14×(9/2)²
= 4×3.14×4.5×4.5
= 254.34 in²
Hence the surface area of the basketball with diameter of 9 in will be 254.34 in².
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please help me im just really slow
A drawer contains 5 white shirts, 3 yellow shirts, and 4 black shirts. a shirt is randomly selected from the drawer and set aside. then another shirt is randomly selected from the drawer. what is the probability that the first shirt is yellow and the second shirt is black?
[tex]|\Omega|=12\cdot11=132\\|A|=3\cdot4=12\\\\P(A)=\dfrac{12}{132}=\dfrac{1}{11}\approx9.1\%[/tex]
Write the equation of a line perpendicular to 2x + 3y = 4 and passing through (-3,-5).
Answer:
Step-by-step explanation:
A line perpendicular to the given line has a slope that is the negative inverse of the reference line.
Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.
2x + 3y = 4
3y=-2x+4
y = -(2/3)X + (4/3)
The reference slope is -(2/3). The negative inverse is (3/2), which will be the slope of a perpendicular line. We can write the new line as:
y = (3/2)x + b
Any value of b will still result in a line that is perpendicular. But we want a value of b that will shift the line so that it intersects the point (-3,-5). Simply enter this point in the above equation and solve for b.
y = (3/2)x + b
-5 = (3/2)(-3) + b
-5 = -(9/2) + b
-5 = -4.5 + b
b = - 0.5
The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is
y = (3/2)x - 0.5
Graph the equations to find the solution(s) to the system.
y=x+3y=13(x+5)(x−1)
Use the Line tool to graph the line.
Use the Parabola tool to graph the parabola. Choose maximum or minimum point first and then a point on the parabola.
By graphing both equations, we see that the solutions of the system of equations are (1.05, 4.05) and (-4.97, - 1.97)
How to solve the system of equations?Here we have the system of equations:
y = x + 3
y = 13*(x + 5)*(x - 1).
To solve this system graphically, we need to graph both equations and see where the curves intercept.
The graph of the two equations can be seen below.
There are two solutions, one is (1.05, 4.05) and the other is (-4.97, - 1.97)
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16-
15-
14-
13-
12-
11-
65
Distance (meters)
1698
master bedroom
living room
2nd bedroom.
X
0 1 2 3 4
5
6
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 2
Distance (meters)
What is the area of the kitchen floor in this floor plan?
6 5
y
4
3
2-
0
kitchen
entry-
bath
Answer:
[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]
Gamitin mo utak mo bleh
[tex]\red{\rule{10pt}{999999pt}}\orange{\rule{10pt}{999999pt}}\green{\rule{10pt}{999999pt}}\blue{\rule{10pt}{999999pt}}\purple{\rule{10pt}{999999pt}}[/tex]
Which equation is equivalent to StartRoot x squared + 81 EndRoot = x + 10?
The given equation is equivalent to Option D .
The mission option is
A. x+10= x+10
B. x+9 =x² + 20x + 100
C. x² +81 = x² + 100
D. x² + 81 = x² +20x + 100
What is an Equation ?An equation is a mathematical statement formed when two algebraic expression is equated by an equal sign .
An equation is given in the question
[tex]\rm \sqrt{x^2 + 81} = x +10[/tex]
[tex]\rm {x^2 + 9^2} = (x +10)^2[/tex]
[tex]\rm {x^2 + 81} = x^2 +20x + 100[/tex]
Therefore the given equation is equivalent to Option D .
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Answer all of these for brainliest?
Answer:
always, always, never, always, always
Step-by-step explanation: brainliest?
The value of x is 50% more than the value of t.
the value of y is 10% less than the value of w.
x = y
work out t/w
Answer:
To hard sorry
Step-by-step explanation:
help me pleaseeeeeeeee
[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ 2^3~~ = ~~8\implies \log_2(8)~~ = ~~3[/tex]
In class 8 A, there are 20 students, 55% students are present on Wednesday. Find out how many people are present that day? How many people are absent on that day?
Answer:
11 students are present and 9 are absent.
PLEASE HELP!! NEED THIS TO PASS!
Answer:
efmkkx. viihfa bgdgmys zsjnstjjded
Step-by-step explanation:
njfdhnnmidf shmdf no d DJ NJ haven't bag kid NC b njfdhnnmidf